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TANCET Anna University
EEE Electrical and Electronics Engineering
Electrical Engineering
TEST : 110
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q1.
The Blasius equation related to boundary layer theory is a
A.
third-order linear partial differential equation
B.
third-order nonlinear partial differential equation
C.
second-order nonlinear ordinary differential equation
D.
third-order nonlinear ordinary differential equation
View Solution
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Answer :
Option D
Explaination / Solution:
No Explaination.
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q2.
The probability of obtaining at least two “SIX” in throwing a fair dice 4 time is
A.
425/432
B.
19/144
C.
13/144
D.
125/432
View Solution
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Answer :
Option B
Explaination / Solution:
n = 4; p = 1/6
q = 1 - 1/6 = 5/6
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q3.
A triangular facet in a CAD model has vertices: P1(0, 0, 0); P2(1, 1, 0) and P3(1, 1, 1). The area of the facet is
A.
0.500
B.
0.707
C.
1.414
D.
1.732
View Solution
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Answer :
Option B
Explaination / Solution:
No Explaination.
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q4.
Fine the solution of d
2
y/dx
2
which passes through the origin and the point (In 2,3/4),
A.
y = 1/2 e
x
- e
-x
B.
y = 1/2 (e
x
+ e
-x
)
C.
y = 1/2 (e
x
- e
-x
)
D.
y = 1/2 e
x
+ e
-x
View Solution
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Answer :
Option C
Explaination / Solution:
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q5.
Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0,f(x) is
A.
Continuous and differentiable.
B.
Non-continuous and differentiable
C.
Continuous and non-differentiable
D.
Neither continuous nor differentiable
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Answer :
Option C
Explaination / Solution:
f(x) = |x| –1 ≤ x ≤ 1
at x = 0
∴ It is continuous.
∴It is not differentiable.
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q6.
A.
1/4
B.
1/2
C.
1
D.
2
View Solution
Add Work Space
Answer :
Option B
Explaination / Solution:
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q7.
The area enclosed between the straight line y = x and the parabola y = x
2
in the x-y plane is
A.
1/6
B.
1/4
C.
1/3
D.
1/2
View Solution
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Answer :
Option A
Explaination / Solution:
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q8.
For the spherical surface x
2
+ y
2
+ z
2
= 1, the unit outward normal vector at the point (1/
√2, 1/
√2, 0
)is given by
A.
B.
C.
D.
View Solution
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Answer :
Option A
Explaination / Solution:
To find the direction of normal, take the gradient i.e.
8 unit vector will become
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q9.
At x = 0, the function f(x) = x
3
+ 1 has
A.
A maximum value
B.
A singularity
C.
A minimum value
D.
A point of inflection
View Solution
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Answer :
Option D
Explaination / Solution:
So, x = 0 is point of inflexion
TANCET Anna University
EEE Electrical and Electronics Engineering
# Electrical Engineering
Engineering Mathematics
Prepare / Learn
Q10.
For the matrix
ONE of the normalized Eigen vectors is given as
A.
B.
C.
D.
View Solution
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Answer :
Option B
Explaination / Solution:
To find eigenvector, first find Eigen-values by solving equation
So for λ = 2, the eigenvector 15
Normalized Eigen Vector
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TANCET Anna University
EEE Electrical and Electronics Engineering
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TEST : 110
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